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Pi is irrational #15860

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mcdoll opened this issue Aug 4, 2022 · 5 comments
Open

Pi is irrational #15860

mcdoll opened this issue Aug 4, 2022 · 5 comments
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good-first-project t-analysis Analysis (normed *, calculus)

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@mcdoll
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mcdoll commented Aug 4, 2022

Prove that real.pi is irrational using Niven's argument, see also Wikipedia

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@mcdoll mcdoll added good-first-project t-analysis Analysis (normed *, calculus) labels Aug 4, 2022
@YaelDillies
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@b-mehta has a proof somewhere, and maybe @vihdzp is getting close to this too?

@vihdzp
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vihdzp commented Aug 13, 2022

I was proving another one of Niven's theorems, the one about rational cosines.

@mcdoll
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mcdoll commented Aug 13, 2022

when this was discussed someone mentioned that Bhavik has a proof, but if he does not PR it into mathlib I see no problem having it as a possible first project.

@alexjbest
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Bhavik's work is at irrational-pi

@jcommelin
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What is the status of the Lindemann result that immediately shows that π is transcendental? That was mostly formalized somewhere, right?

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@alexjbest @jcommelin @YaelDillies @mcdoll @vihdzp